On AGT description of N=2 SCFT with N f=4 - High Energy Physics - TheoryReport as inadecuate




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Abstract: We consider Alday-Gaiotto-Tachikawa AGT realization of the Nekrasovpartition function of N=2 SCFT. We focus our attention on the SU2 theory withN f=4 flavor symmetry, whose partition function, according to AGT, is given bythe Liouville four-point function on the sphere. The gauge theory with N f=4 isknown to exhibit SO8 symmetry. We explain how the Weyl symmetrytransformations of SO8 flavor symmetry are realized in the Liouville theorypicture. This is associated to functional properties of the Liouvillefour-point function that are a priori unexpected. In turn, this can be thoughtof as a non-trivial consistency check of AGT conjecture. We also make somecomments on elementary surface operators and WZW theory.



Author: Gaston Giribet

Source: https://arxiv.org/



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